# Questions tagged [polynomials]

Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

**8**

**4**answers

### Variants of Eisenstein irreducibility

**3**

**3**answers

### Polynomials and L^p(R)

**11**

**2**answers

### Galois group of a product of polynomials

**0**

**1**answer

### Irreducible Polynomials in UFD and corresponding Quotient Field

**55**

**9**answers

### Irreducibility of polynomials in two variables

**1**

**3**answers

### How to factorize X^n - 1 in Z/pZ?

**5**

**1**answer

### Finding unknown integer-valued polynomials using inequalities

**7**

**3**answers

### Rational exponential expressions

**31**

**1**answer

### Integers not represented by $ 2 x^2 + x y + 3 y^2 + z^3 - z $

**51**

**5**answers

### Bizarre operation on polynomials

**3**

**1**answer

### Bernstein inequality for multivariate polynomial

**14**

**3**answers

### Sets that can be mapped onto R^n by a polynomial

**10**

**4**answers

### What primes divide the discriminant of a polynomial?

**17**

**6**answers

### English reference for a result of Kronecker?

**4**

**3**answers

### Counting lattice points on an n-simplex

**246**

**7**answers

### Polynomial representing all nonnegative integers

**8**

**3**answers

### When does a real polynomial have a pair of complex conjugate roots?

**9**

**1**answer

### what was Hilbert's geometric construction in his 17th problem?

**27**

**12**answers

### When does 'positive' imply 'sum of squares'?

**12**

**4**answers

### Is a polynomial with 1 very large coefficient irreducible?

**2**

**3**answers

### Expressing field inclusions by polynomial equalities on coefficients

**6**

**1**answer

### Tschirnhaus Transformation

**12**

**2**answers

### Irreducible polynomial over number field with roots in every completion?

**11**

**5**answers

### Two questions about discriminants of polynomials in Q[x]

**87**

**11**answers

### Can a non-surjective polynomial map from an infinite field to itself miss only finitely many points?

**12**

**5**answers

### Finding the new zeros of a “perturbed” polynomial

**21**

**2**answers

### Least number of non-zero coefficients to describe a degree n polynomial

**4**

**4**answers

### Are quotients of polynomial rings almost UFDs?

**70**

**7**answers

### Roots of truncations of $ e^x - 1$

**8**

**3**answers

### No simple duplication formula for factorials?

**25**

**7**answers

### When is a monic integer polynomial the characteristic polynomial of a non-negative integer matrix?

**8**

**3**answers

### Polynomials that are sums of squares

**2**

**3**answers

### Variant of binomial coefficients

**6**

**1**answer